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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 830 · 40 sums
TalentJR

The method (Common denominator, then signs): Standard form: move any minus sign to the numerator and divide top and bottom by their HCF. Compare: same denominator, then the bigger numerator is bigger (−2/6 > −5/6). Add or subtract: common denominator, then add or subtract the numerators with the rules of signs. Additive inverse of a/b is −a/b; reciprocal of a/b is b/a (same sign).

NameDateTime takenScore ___ / 40
  1. 1.What is (−2/5) − (−5/8)? (a) 9/40 (b) 3/13 (c) −9/40 (d) −41/40
  2. 2.Is −6/3 positive or negative? (a) Positive (b) Negative
  3. 3.Which is smaller: −5/9 or 4/5? (a) 4/5 (b) −5/9
  4. 4.Is 2/6 positive or negative? (a) Negative (b) Positive
  5. 5.Is −5/8 positive or negative? (a) Positive (b) Negative
  6. 6.What is (−7/9) + 3/7? (a) 22/63 (b) −1/4 (c) −76/63 (d) −22/63
  7. 7.Which is smaller: −2/3 or −7/9? (a) −2/3 (b) −7/9
  8. 8.What is (−1/4) − 2/9? (a) −17/36 (b) 17/36 (c) −1/36 (d) −3/13
  9. 9.What is the additive inverse of −1/3? (a) −1/3 (b) 1/3 (c) 3 (d) −3
  10. 10.Is −6/2 positive or negative? (a) Positive (b) Negative
  11. 11.What is (−6/7) − (−5/8)? (a) −83/56 (b) −1/15 (c) −13/56 (d) 13/56
  12. 12.Is −3/4 positive or negative? (a) Positive (b) Negative
  13. 13.Is 7/7 positive or negative? (a) Negative (b) Positive
  14. 14.What is (−4/7) + (−2/3)? (a) 2/21 (b) 26/21 (c) −3/5 (d) −26/21
  15. 15.What is the additive inverse of 8/9? (a) 9/8 (b) −9/8 (c) 8/9 (d) −8/9
  16. 16.What is (−6/7) + (−1/2)? (a) −7/9 (b) 19/14 (c) −19/14 (d) −5/14
  17. 17.What is (−7/9) + 5/7? (a) −94/63 (b) −4/63 (c) −1/8 (d) 4/63
  18. 18.What is (−1/6) + 8/9? (a) −19/18 (b) 7/15 (c) −13/18 (d) 13/18
  19. 19.What is (−4/9) − 7/9? (a) 1/3 (b) 11/9 (c) −11/9 (d) −11/18
  20. 20.What is (−2/5) − (−5/9)? (a) 3/14 (b) −7/45 (c) 7/45 (d) −43/45
  21. 21.Write 3/(−9) in standard form (lowest terms, positive denominator). (a) −3/1 (b) −3/9 (c) −1/3 (d) 1/3
  22. 22.Which is bigger: −2/3 or 1/5? (a) 1/5 (b) −2/3
  23. 23.Which is bigger: −7/9 or −3/4? (a) −3/4 (b) −7/9
  24. 24.What is (−6/7) − (−6/7)? (a) −12/7 (b) 0
  25. 25.What is the additive inverse of 6/7? (a) 7/6 (b) 6/7 (c) −7/6 (d) −6/7
  26. 26.What is (−7/8) + (−1/3)? (a) −13/24 (b) −8/11 (c) 29/24 (d) −29/24
  27. 27.Which is bigger: −3/5 or −3/8? (a) −3/8 (b) −3/5
  28. 28.What is 1/7 − (−2/5)? (a) −9/35 (b) −19/35 (c) 19/35 (d) 1/4
  29. 29.What is (−5/8) + 1/4? (a) −1/3 (b) −7/8 (c) −3/8 (d) 3/8
  30. 30.What is the reciprocal (multiplicative inverse) of 2/7? (a) −2/7 (b) 2/7 (c) −7/2 (d) 7/2
  31. 31.What is 7/9 − (−1/2)? (a) 5/18 (b) 8/11 (c) −23/18 (d) 23/18
  32. 32.Which is bigger: −1/2 or −3/8? (a) −1/2 (b) −3/8
  33. 33.What is (−1/4) − (−7/8)? (a) 5/8 (b) −5/8 (c) −9/8 (d) 1/2
  34. 34.Which is smaller: −1/2 or −1/3? (a) −1/2 (b) −1/3
  35. 35.What is the reciprocal (multiplicative inverse) of −5/9? (a) 9/5 (b) −9/5 (c) −5/9 (d) 5/9
  36. 36.Which is smaller: −8/9 or 1/2? (a) −8/9 (b) 1/2
  37. 37.Write 8/(−36) in standard form (lowest terms, positive denominator). (a) −9/2 (b) 2/9 (c) −8/36 (d) −2/9
  38. 38.Is −2/9 positive or negative? (a) Negative (b) Positive
  39. 39.What is (−5/7) + (−2/9)? (a) −31/63 (b) −7/16 (c) −59/63 (d) 59/63
  40. 40.What is (−1/3) − 1/2? (a) −2/5 (b) 5/6 (c) −5/6 (d) 1/6

Answer key

  1. 9/40
  2. Negative
  3. −5/9
  4. Positive
  5. Negative
  6. −22/63
  7. −7/9
  8. −17/36
  9. 1/3
  10. Negative
  11. −13/56
  12. Negative
  13. Positive
  14. −26/21
  15. −8/9
  16. −19/14
  17. −4/63
  18. 13/18
  19. −11/9
  20. 7/45
  21. −1/3
  22. 1/5
  23. −3/4
  24. 0
  25. −6/7
  26. −29/24
  27. −3/8
  28. 19/35
  29. −3/8
  30. 7/2
  31. 23/18
  32. −3/8
  33. 5/8
  34. −1/2
  35. −9/5
  36. −8/9
  37. −2/9
  38. Negative
  39. −59/63
  40. −5/6

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